Q51.

Use $x + y = 0$ , $x + y = 5$ and $x + y = - 5$

Graph the equation on a co-ordinate plane. Compare and contrast the graphs.

Verified

Answer

The lines are parallel to each other and all the lines have the difference of 5 units to positive x-axis.

1Step 1. Concept of finding the points which satisfy the equations

Substitute $x = 0$ in each equation and find the value of y and similarly put $y = 0$ in each equation and find the value of x.

2Step 2. Determining the point which satisfies the equations

$(0, 0)$ Satisfy the equation $x + y = 0$

$(0, 5)$ and $(5, 0)$ satisfy the equation $x + y = 5$

And, $(0, - 5)$ and $(- 5, 0)$ satisfy the equation $x + y = - 5$

3Step 3. Plotting the Graph